259079625 has 96 divisors (see below), whose sum is σ = 539675136. Its totient is φ = 117129600.

The previous prime is 259079581. The next prime is 259079629. The reversal of 259079625 is 526970952.

It is not a de Polignac number, because 259079625 - 2⁹ = 259079113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (259079629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1315027 + ... + 1315223.

It is an arithmetic number, because the mean of its divisors is an integer number (5621616).

Almost surely, 2^259079625 is an apocalyptic number.

259079625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

259079625 is an abundant number, since it is smaller than the sum of its proper divisors (280595511).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

259079625 is a wasteful number, since it uses less digits than its factorization.

259079625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 259079625 is about 16095.9505777074. The cubic root of 259079625 is about 637.4964244321.

It can be divided in two parts, 2590 and 79625, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 259079625 in words is "two hundred fifty-nine million, seventy-nine thousand, six hundred twenty-five".